Quadrisecants give new lower bounds for the ropelength of a knot

Details Quadrisecants give new lower bounds for the ropelength of a knot Quadrisecants give new lower bounds for the ropelength of a knot

2004-08-02

arxiv.org/abs/math/0408026v3

Geom. Topol. 10 (2006) 1--26

Mathematics

Geometric Topology

v3 is the version published by Geometry & Topology on 25 February 2006

Scientific paper

10.2140/gt.2006.10.1

Using the existence of a special quadrisecant line, we show the ropelength of
any nontrivial knot is at least 15.66. This improves the previously known lower
bound of 12. Numerical experiments have found a trefoil with ropelength less
than 16.372, so our new bounds are quite sharp.

Affiliated with

Also associated with

No associations

Rating

Quadrisecants give new lower bounds for the ropelength of a knot does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quadrisecants give new lower bounds for the ropelength of a knot, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quadrisecants give new lower bounds for the ropelength of a knot will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-307475